(∃X)[Px • (∃Y)(Qy • Y=x)] ⊃ (∃X)(Px • Qx)
-Which $\lor$

question 21

Multiple Choice

(∃x) [Px • (∃y) (Qy • y=x) ] ⊃ (∃x) (Px • Qx)
-Which of the following propositions is also derivable in F?

• A) (∀x)(Px ⊃ (∀y)(Qy ⊃ y≠x)] \( \lor \) (∀x)(Qx ⊃ ~Px)
• B) (∀x)(Px ⊃ ∼Qx) ⊃ (∀x)[Px ⊃ (∀y)(Qy ⊃ y≠x)]
• C) (∀x)[Px ⊃ (∀y)(Qy ⊃ y=x)] ⊃ (∀x)(Qx ⊃ ~Px)
• D) (∀x)[Px ⊃ (∀y)(Qy ⊃ y≠x)] ⊃ (∀x)(Px ⊃ ~Qx)
• E) (∀x)(Px ⊃ ~Qx) \( \lor \) (∃x)(Px • Qx)

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Definitions:

Annuities

Financial products that provide a stream of payments over time in exchange for an initial lump sum investment.

Periodic Interest Rate

The interest rate charged or paid over a specific period of time, often less than one year, such as a month or quarter.

Annuity

A monetary scheme providing regular payment intervals to a person, often employed as a retirement income solution.

Payment Interval

The regular time period between payments on a loan or investment, such as monthly or annually.